Using Normal Distribution to Analyze Data Martin suspects that people carry less cash with them than they used to because of cre
1 answer:
Answer:
Step-by-step explanation:
Sample size = 95
X=cash carried by the persons
x bar = 8.00
s = sample std dev = 2.50
Std error =
Hence Z score would be
-0.00
b)
c) 95% conf interval margin of error = ±
=±0.54782
Confi interval = (8-0.5027, 8+0.5027)
= (7.4923, 8.5027)
C)If conf level increases, then width of interval would increase since critical value would increase.
If sample size increases std error would decrease and hence margin of error.
So interval would decrease.
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Answer:
Weight of the truck=9408 N
Step-by-step explanation:
Boat is experiencing the buoyant force as it is in the water and is sinking
According to the force balance in y direction. As both is floating, two forces balance each other:
where:
is the buoyant force
is the weight=mg
Eq (1)
Buoyant force is equal to the mass of water displaced * gravitational acceleration.
Taking density of water to be 1000 Kg/m^3
From Eq(1):
Weight of the truck=9408 N
Answer: We can arrange the steps with help of below explanation.
Step-by-step explanation:
Here ABC is a triangle,
Draw a perpendicular from BD to side AC ( construction)
where
In the right triangle BCD, from the definition of cosine:
cos C =CD/ BC
CD= a cos C
Subtracting this from the side b, we see that
DA= b-acos C
In the triangle BCD, from the definition of sine:
sin C =BD / a
BD = a sin C
In the triangle ADB, applying the Pythagorean Theorem
Substituting for BD and DA from (2) and (3)
⇒ ( On simplification)
⇒
⇒
⇒ (because,
)
